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Finding the Third Proportional to 9,725,408 and 20,959,114

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Solution

The third proportional to 9,725,408 and 20,959,114 is: 45,168,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,408 : 20,959,114 = 20,959,114 : x
  2. Step 2: Convert to fraction form
    9,725,408/20,959,114 = 20,959,114/x
  3. Step 3: Cross multiply
    9,725,408x = 20,959,114 × 20,959,114
  4. Step 4: Simplify right side
    9,725,408x = 439,284,459,664,996
  5. Step 5: Solve for x
    x = 439,284,459,664,996/9,725,408
  6. Step 6: Final answer
    x = 45,168,743.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.